PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Poster
Intra-taste eigenvalue splittings of staggered, Karsten-Wilczek and Borici-Creutz fermions in 2D
S. Durr* and M. Ammer
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Pre-published on: December 06, 2022
Published on: April 06, 2023
Staggered, Karsten-Wilczek (KW) and Borici-Creutz (BC) fermions all retain a remnant chiral symmetry. The price to be payed is that they are doubled, and the resulting taste symmetry is broken by cut-off effects. We measure the size of the taste symmetry violation by determining the low-lying eigenvalues of these fermion operators in the two-dimensional Schwinger model which admits, like QCD, a global topological charge $q \in \mathbb{Z}$ of a given gauge configuration. We find that it matters whether the pertinent eigenmode is a would-be zero mode or a non-topological mode. The intra-taste splittings of these fermion formulations are all found to diminish with increasing $\beta$. Our goal is to verify standard Symanzik scaling for these taste-breaking effects.
DOI: https://doi.org/10.22323/1.430.0291
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